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3413014320 = 243552327191
BaseRepresentation
bin1100101101101110…
…0111011100110000
322210212012002110210
43023123213130300
523442212424240
61322400424120
7150402100032
oct31333473460
98725162423
103413014320
1114a16151a1
127b3018040
13425131701
142453d7c52
1514e978780
hexcb6e7730

3413014320 has 80 divisors (see below), whose sum is σ = 10600964352. Its totient is φ = 908363520.

The previous prime is 3413014313. The next prime is 3413014349. The reversal of 3413014320 is 234103143.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111925 + ... + 139115.

Almost surely, 23413014320 is an apocalyptic number.

3413014320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300482176).

3413014320 is an abundant number, since it is smaller than the sum of its proper divisors (7187950032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3413014320 is a wasteful number, since it uses less digits than its factorization.

3413014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27730 (or 27724 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3413014320 is about 58421.0092346923. The cubic root of 3413014320 is about 1505.6107380232.

Adding to 3413014320 its reverse (234103143), we get a palindrome (3647117463).

The spelling of 3413014320 in words is "three billion, four hundred thirteen million, fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 523 1046 1569 2092 2615 3138 4184 5230 6276 7845 8368 10460 12552 15690 20920 25104 27191 31380 41840 54382 62760 81573 108764 125520 135955 163146 217528 271910 326292 407865 435056 543820 652584 815730 1087640 1305168 1631460 2175280 3262920 6525840 14220893 28441786 42662679 56883572 71104465 85325358 113767144 142208930 170650716 213313395 227534288 284417860 341301432 426626790 568835720 682602864 853253580 1137671440 1706507160 3413014320